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There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band…

Strongly Correlated Electrons · Physics 2015-05-15 Oleg Derzhko , Johannes Richter , Mykola Maksymenko

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

Recent discovery of correlated electronic phases in twisted heterostructures raised a surge of interests in studying models and materials with flat bands where the electronic excitations are nearly dispersionless in momentum space. As such,…

Strongly Correlated Electrons · Physics 2024-03-15 Leyla Majidi , Abolhassan Vaezi , Mehdi Kargarian

By using the determinant Quantum Monte Carlo method, the magnetic and pairing correlation of the Na$_{x}$CoO$_{2}\cdot$yH$_{2}$O system are studied within the Hubbard model on a bilayer triangular lattice. The temperature dependence of spin…

Strongly Correlated Electrons · Physics 2013-12-18 Shuang Wu , Jinling Li , Pan Gao , Ying Liang , Tianxing Ma

Motivated by recent experiments realizing correlated phenomena and superconductivity in 2D van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a…

Strongly Correlated Electrons · Physics 2019-06-19 Edwin W. Huang , Mohammad-Sadegh Vaezi , Zohar Nussinov , Abolhassan Vaezi

1$T$-TaS$_2$ is the only insulating transition-metal dichalcogenide (TMD) with an odd number of electrons per unit cell. This insulating state is non-magnetic, making it a potential spin-liquid candidate. The unusual electronic behavior…

Strongly Correlated Electrons · Physics 2024-06-28 Amir Dalal , Jonathan Ruhman , Jörn W. F. Venderbos

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

We present magnetic properties of the three-band Hubbard model in the para- and antiferromagnetic phase on a hypercubic lattice calculated with the Dynamical Mean-Field Theory (DMFT). To allow for solutions with broken spin-symmetry we…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. B. Zoelfl , Th. Pruschke , J. Keller

We combine single-crystal neutron diffraction studies and Monte Carlo simulations to determine the spin structures and finite-temperature phase diagram of the spin-5/2 triangular-lattice antiferromagnet Na$_2$BaMn(PO$_4$)$_2$ in magnetic…

Strongly Correlated Electrons · Physics 2025-11-25 N. Biniskos , F. J. dos Santos , M. Stekiel , K. Schmalzl , E. Ressouche , D. Sviták , A. Labh , M. Vališka , N. Marzari , P. Čermák

We study the ground state properties of an ABA-stacked trilayer graphene. The low energy band structure can be described by a combination of both a linear and a quadratic particle-hole symmetric dispersions, reminiscent of monolayer- and…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 Ralph van Gelderen , Lih-King Lim , C. Morais Smith

Understanding the nature of strongly correlated states in flat-band materials (such as moir\'e heterostructures) is at the forefront of both experimental and theoretical pursuits. While magnetotransport, scanning probe, and optical…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Michał Papaj , Cyprian Lewandowski

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

This thesis investigates the magnetic, spectral, and transport properties of strongly correlated electronic systems, with a primary focus on the Hubbard model and its extensions relevant for real materials. Within the dynamical mean-field…

Strongly Correlated Electrons · Physics 2026-03-19 Joel Bobadilla

The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

When the electronic dispersion in a material is independent of momentum, it gives rise to strongly correlated flat bands, with the single particle energy, quenched. Though the notion of flat bands had been known since long, their…

Strongly Correlated Electrons · Physics 2025-08-12 Madhuparna Karmakar

Recently, above-room temperature superconductivity was reported in the Cu doped lead apatite Pb$_{10-x}$Cu$_x$(PO4)$_6$O, dubbed LK-99. By relaxing the structure with Cu substitution, we derive a four-band low-energy model with two 3/4…

Strongly Correlated Electrons · Physics 2024-03-08 Changming Yue , Viktor Christiansson , Philipp Werner

The ``14-1-11'' phase compounds based on magnetic Mn ions and typified by Ca14MnBi11 and Ba14MnBi11 show unusual magnetic behavior, but the large number (104) of atoms in the primitive cell has precluded any previous full electronic…

Materials Science · Physics 2009-11-07 D. Sanchez-Portal , Richard M. Martin , S. M. Kauzlarich , W. E. Pickett

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 C. Weeks , M. Franz

Oxide heterostructures allow for detailed studies of 2D electronic transport phenomena. Herein, different facets of magnetotransport in selected spin-orbit-coupled systems are analyzed and characterized by their single-band and multiband…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Robert Bartel , Elias Lettl , Patrick Seiler , Thilo Kopp , German Hammerl
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